MathMaster logo

MathMaster

  1. Home
  2. general
  3. calculate the equation of the tangent line ay sin x cos x en x 2
Question

Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2

125

likes
626 views

Answer to a math question Calculate the equation of the tangent line ay=sin(x) cos⁡(x)en x=π/2

Expert avatar
Birdie
4.5
94 Answers
$\frac{dy}{dx}=cosx\cos x-\sin x\sin x=\cos(2x)$
$-1\left(x-\pi/2\right)=\left(y-0\right)$
$y=-x+\pi/2$

Frequently asked questions (FAQs)
Math question: What is the equation of a circle centered at (-2, 3) with a radius of 5?
+
What is the equation for the area of a trapezoid?
+
Find the roots of the cubic equation x³ + 2x² - 8x - 12 = 0.
+
New questions in Mathematics
If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.
Solution to the equation y'' - y' - 6y = 0
2+2
Additionally, the boss asked Armando to determine how many toy sales branches he would have in the fifteenth year, knowing that the first year they started with two branches, by the second they already had 5 branches and, by the third year, they had 8 branches. From the above, determine the number of branches it will have for the fifteenth year.
You are planning to buy a car worth $20,000. Which of the two deals described below would you choose, both with a 48-month term? (NB: estimate the monthly payment of each offer). i) the dealer offers to take 10% off the price, then lend you the balance at an annual percentage rate (APR) of 9%, monthly compounding. ii) the dealer offers to lend you $20,000 (i.e., no discount) at an APR of 3%, monthly compounding.
How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?
A pair of die is thrown and the absolute difference of the two scores is recorded. What is the probability of the absolute difference being 4 or more?
12(3+7)-5
7. Find the equation of the line passing through the points (−4,−2) 𝑎𝑛𝑑 (3,6), give the equation in the form 𝑎𝑥+𝑏𝑦+𝑐=0, where 𝑎,𝑏,𝑐 are whole numbers and 𝑎>0.
The market for economics textbooks is represented by the following supply and demand equations: P = 5 + 2Qs P = 20 - Qd Where P is the price in £s and Qs and Qd are the quantities supplied and demanded in thousands. What is the equilibrium price?
A machine produces 255 bolts in 24 minutes. At the same rate, how many bolts would be produced in 40 minutes?
The function h(t)=-5t^2+20t+60 models the height in meters of a ball t seconds after it’s thrown . Which describe the intercepts and vertex of this function
The probability of growing a seedling from a seed is 0.62. How many seeds do I need to plant so that the probability of growing at least one seedling is greater than or equal to 0.87?
For what values of m is point P (m, 1 - 2m) in the 2⁰ quadrant?
We have received our p&l statement back from accounts. The board has asked for an innovation hub. What items should we prioritise reviewing to decide if we can afford an innovation hub?
Calculate NPV, IRR and PAYBACK through a cash flow for a period of five years, with discount rate of: a) 10% b) 12% c) 15% initial annual cost $41,400,000
calculate the product of 4 and 1/8
Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.
I have a complex function I would like to integrate over. I can use two approaches and they should give the same solution. If I want to find the contour integral ∫𝛾𝑧¯𝑑𝑧 for where 𝛾 is the circle |𝑧−𝑖|=3 oriented counterclockwise I get the following: ∫2𝜋0𝑖+3𝑒𝑖𝑡⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯𝑑(𝑖+3𝑒𝑖𝑡)=∫2𝜋03𝑖(−𝑖+3𝑒−𝑖𝑡)𝑒𝑖𝑡𝑑𝑡=18𝜋𝑖 If I directly apply the Residue Theorem, I would get ∫𝛾𝑧¯𝑑𝑧=2𝜋𝑖Res(𝑓,𝑧=0)=2𝜋𝑖
5 1/9 + 2 2/3

You might be interested in